cvmetИзвестия вузов. Цветная металлургияIzvestiya. Non-Ferrous Metallurgy0021-34382412-8783НИТУ "МИСИС"10.17073/0021-3438-2020-5-70-83cvmet-1184Research ArticleОбработка металлов давлениемPressure Treatment of MetalsИзучение влияния режимов радиально-сдвиговой прокатки на температурно-деформационные условия процесса обработки алюминия АД0Studying the influence of radial-shear rolling on the thermo-deformation conditions of aluminum AA1050 processingГаминЮ. В.GaminYu. V.

канд. техн. наук, доцент кафедры обработки металлов давлением

119991, г. Москва, Ленинский пр-т, 4

Cand. Sci. (Eng.), associate prof. of the Department of metal forming

119991, Moscow, Leninskii pr., 4

y.gamin@mail.ruКошминА. Н.KoshminA. N.

аспирант, инженер кафедры ОМД

119991, г. Москва, Ленинский пр-т, 4

postgraduate student, engineer of the Department of metal forming

119991, Moscow, Leninskii pr., 4

koshmin.an@misis.ruДолбачевА. П.DolbachevA. P.

аспирант, инженер кафедры ОМД

119991, г. Москва, Ленинский пр-т, 4

postgraduate student, engineer of the Department of metal forming

119991, Moscow, Leninskii pr., 4

loiner@list.ruГалкинС. П.GalkinS. P.

докт. техн. наук, профессор кафедры ОМД

119991, г. Москва, Ленинский пр-т, 4

Dr. Sci. (Eng..), prof. of the Department of metal forming

119991, Moscow, Leninskii pr., 4

glk-omd@yandex.ruАлещенкоА. С.AleshchenkoA. S.

канд. техн. наук, зав. кафедрой ОМД

119991, г. Москва, Ленинский пр-т, 4

Cand. Sci. (Eng.), head of the Department of metal forming

119991, Moscow, Leninskii pr., 4

judger85@mail.ruКадачМ. В.KadachM. V.

зав. лабораторией кафедры ОМД

119991, г. Москва, Ленинский пр-т, 4

head of the laboratory of the Department of metal forming

119991, Moscow, Leninskii pr., 4

stendek89@yandex.ruНациональный исследовательский технологический университет (НИТУ) «МИСиС»РоссияNational University of Science and Technology (NUST) «MISIS»Russian Federation202020102020057083Copyright © Гамин Ю.В., Кошмин А.Н., Долбачев А.П., Галкин С.П., Алещенко А.С., Кадач М.В., 20202020Гамин Ю.В., Кошмин А.Н., Долбачев А.П., Галкин С.П., Алещенко А.С., Кадач М.В.Gamin Y.V., Koshmin A.N., Dolbachev A.P., Galkin S.P., Aleshchenko A.S., Kadach M.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://cvmet.misis.ru/jour/article/view/1184

Проведен анализ влияния режимов деформации на условия процесса радиально-сдвиговой прокатки (РСП) алюминия технической чистоты АД0. На основе моделирования методом конечных элементов (МКЭ) получено изменение температуры при различных углах подачи и вытяжках в первом и последнем проходах. Увеличение угла подачи незначительно повышает колебания температуры в поверхностном слое за счет роста частного обжатия, но несущественно влияет на общий деформационный разогрев в процессе РСП. Температуру окончания деформации возможно контролировать с помощью варьирования степени обжатия. При этом необходимо учитывать исходную температуру нагрева, размеры получаемого конечного проката и вытяжку за проход. Размер заготовки оказывает существенное влияние на тепловые изменения в процессе РСП. В последнем проходе, когда диаметральные размеры составляют 20–14 мм, деформационный разогрев практически полностью компенсируется охлаждением прутка при контакте с окружающей средой и инструментом и начинает преобладать с повышением коэффициента вытяжки больше 1,2. Анализ накопленной степени деформации (εн) при различных режимах деформации показал, что разница значений εн по поперечному сечению прутка уменьшается при увеличении угла подачи. Сопоставление полученных данных с твердостью и микроструктурой прокатанных образцов АД0 показывает, что величина εн оказывает значительное влияние на изменение структуры и свойств до определенного значения, что подтверждается полученным распределением микротвердости по поперечному сечению прутков. Механические свойства полученных прутков соответствуют свойствам алюминия технической чистоты в нагартованном состоянии (σв ~ 115 МПа, σ0,2 ~ 110 МПа, δ ~ 1 %, HV ~ 40÷43).

The effect of deformation modes on the process conditions of radial-shear rolling (RSR) of commercial purity aluminum AA1050 is analyzed. Based on finite-element modeling (FEM), temperature variation at various feed angles and elongation in the first and last passes is obtained. An increase in the feed angle slightly raises temperature fluctuations in the surface layer due to increasing reduction per pass, but it does not significantly influence the total deformation heating during RSR. The final deformation temperature can be controlled by varying the reduction ratio. In this case, it is necessary to take into account the initial heating temperature, dimensions of final rolled products and elongation per pass. The billet size has a significant effect on thermal variations during RSR. In the last pass, when diameters are 20–14 mm, deformation heating is almost completely compensated by rod cooling in contact with the environment and the tool and begins to prevail with an increase in the elongation ratio of more than 1.2. The analysis of equivalent strain (εe) at various deformation modes showed that the difference in εe values over the rod cross-section decreases with the increasing feed angle. A comparison of the data obtained with the hardness and microstructure of rolled AA1050 samples shows that εe has a significant effect on changes in the structure and properties to a certain value. This is confirmed by the obtained microhardness distribution over the cross section of rods. Mechanical properties of obtained rods correspond to the properties of commercial purity aluminum in the work hardened condition (σв ~ 115 MPa, σ0.2 ~ 110 MPa, δ ~ 1 %, HV ~ 40÷43).

алюминийрадиально-сдвиговая прокаткамоделирование методом конечных элементовпластическая деформацияугол подачикоэффициент вытяжкирежимы деформацииaluminiumradial-shear rollingfinite element modellingplastic deformationfeed angleelongation ratiodeformation modesИсследование выполнено за счет гранта Российского научного фонда (проект № 19-79-00054).The research was funded by the Russian Science Foundation grant (Project № 19-79-00054).ReferencesTotten G.E., MacKenzie D.S. Handbook of aluminium. Vol. 1. Physical metallurgy and processes. N.Y.: Marcel Dekker Inc., 2003.Totten G.E., MacKenzie D.S. Handbook of aluminium. Vol. 1. Physical metallurgy and processes. N.Y.: Marcel Dekker Inc., 2003.Белецкий В.М., Кривов Г.А. Алюминиевые сплавы (Состав, свойства, технология, применение): Справочник. Киев: КОМИНТЕХ, 2005.Beletskii V.M., Krivov G.A. Aluminum alloys (Composition, properties, technology, application): Handbook. Kiev: KOMINTEKh, 2005.Williams J.C., Starke E.A. Progress in structural materials for aerospace systems. Acta Mater. 2003. Vol. 51. No. 19. P. 5775—5799. https://doi.org/10.1016/j.actamat.2003.08.023.Williams J.C., Starke E.A. Progress in structural materials for aerospace systems. Acta Mater. 2003. Vol. 51. No. 19. P. 5775—5799. https://doi.org/10.1016/j.actamat.2003.08.023.Алиева С.Г., Альтман М.Б., Амбарцумян С.М. и др. Промышленные алюминиевые сплавы: Справочник. М.: Металлургия, 1984.Alieva S.G., Al’tman M.B., Ambartsumyan S.M. еt al. Industrial aluminum alloys: Handbook. Moscow: Metallurgiya, 1984 (In Russ.).Арчакова З.Н., Балахонцев Г.А., Басова И.Г. и др. Структура и свойства полуфабрикатов из алюминиевых сплавов: Справочник. М.: Металлургия, 1984.Archakova Z.N., Balakhontsev G.A., Basova I.G. еt al. Structure and properties of semi-finished aluminum alloys products: Handbook. Moscow: Metallurgiya, 1984 (In Russ.).Kliauga A.M., Sordi V.L., De Vincentis N.S., Bolmaro R.E., Schell N., Brokmeier H.-G. Severe plastic deformation by equal channel angular pressing and rolling: the influence of the deformation path on strain distribution. Adv. Eng. Mater. 2018. Vol. 20. No. 4. Paper 1700055. https://doi.org/10.1002/adem.201700055.Kliauga A.M., Sordi V.L., De Vincentis N.S., Bolmaro R.E., Schell N., Brokmeier H.-G. Severe plastic deformation by equal channel angular pressing and rolling: the influence of the deformation path on strain distribution. Adv. Eng. Mater. 2018. Vol. 20. No. 4. Paper 1700055. https://doi.org/10.1002/adem.201700055.Verlinden B., Chen E., Duchêne L., Habraken A.M. Transient yielding during compression tests on ECAP’ed AA1050 aluminium. Mater. Sci. Forum. 2011. Vols. 667—669. P. 955—960. https://doi.org/10.4028/www.scientific.net/MSF.667-669.955.Verlinden B., Chen E., Duchêne L., Habraken A.M. Transient yielding during compression tests on ECAP’ed AA1050 aluminium. Mater. Sci. Forum. 2011. Vols. 667—669. P. 955—960. https://doi.org/10.4028/www.scientific.net/MSF.667-669.955.Saito Y., Utsunomiya H., Tsuji N., Sakai T. Novel ultra-high straining process for bulkmaterials—development of the accumulative roll-bonding (ARB) process. Acta Mater. 1999. Vol. 47. No. 2. P. 579—583. https://doi.org/10.1016/S1359-6454(98)00365-6.Saito Y., Utsunomiya H., Tsuji N., Sakai T. Novel ultra-high straining process for bulkmaterials—development of the accumulative roll-bonding (ARB) process. Acta Mater. 1999. Vol. 47. No. 2. P. 579—583. https://doi.org/10.1016/S1359-6454(98)00365-6.Lanjewar H., Naghdy S., Vercruysse F., Kestens L.A.I., Verleysen P. Severe plastically deformed commercially pure aluminum: Substructure, micro-texture and associated mechanical response during uniaxial tension. Mater. Sci. Eng. A. 2019. Vol. 764. Paper 138195. https://doi.org/10.1016/j.msea.2019.138195.Lanjewar H., Naghdy S., Vercruysse F., Kestens L.A.I., Verleysen P. Severe plastically deformed commercially pure aluminum: Substructure, micro-texture and associated mechanical response during uniaxial tension. Mater. Sci. Eng. A. 2019. Vol. 764. Paper 138195. https://doi.org/10.1016/j.msea.2019.138195.Verleysen P., Lanjewar H. Dynamic high pressure torsion: A novel technique for dynamic severe plastic deformation. J. Mater. Process. Technol. 2020. Vol. 276. Paper 116393. https://doi.org/10.1016/j.jmatprotec.2019.116393.Verleysen P., Lanjewar H. Dynamic high pressure torsion: A novel technique for dynamic severe plastic deformation. J. Mater. Process. Technol. 2020. Vol. 276. Paper 116393. https://doi.org/10.1016/j.jmatprotec.2019.116393.Vu V.Q., Prokof’eva O., Toth L.S., Usov V., Shkatulyak N., Estrin Y., Kulagin R., Varyukhin V., Beygelzimer Y. Obtaining hexagon-shaped billets of copper with gradient structure by twist extrusion. Mater. Charact. 2019. Vol. 153. P. 215—223. https://doi.org/10.1016/j.matchar.2019.04.042.Vu V.Q., Prokof’eva O., Toth L.S., Usov V., Shkatulyak N., Estrin Y., Kulagin R., Varyukhin V., Beygelzimer Y. Obtaining hexagon-shaped billets of copper with gradient structure by twist extrusion. Mater. Charact. 2019. Vol. 153. P. 215—223. https://doi.org/10.1016/j.matchar.2019.04.042.Faregh S.S.H., Hassani A. Stress and strain distribution in twist extrusion of AA6063 aluminum alloy. Int. J. Mater. Form. 2018. Vol. 11. No. 2. P. 175—184. https://doi.org/10.1007/s12289-017-1340-0.Faregh S.S.H., Hassani A. Stress and strain distribution in twist extrusion of AA6063 aluminum alloy. Int. J. Mater. Form. 2018. Vol. 11. No. 2. P. 175—184. https://doi.org/10.1007/s12289-017-1340-0.Zhu Q.F., Zhao Z.H., Zuo Y.B., Li L., Cui J.Z. The structure evolution of a 99.995 percent high purity aluminum during multi-forging process in room temperature. Mater. Sci. Forum. 2014. Vol. 794—796. P. 876—881. https://doi.org/10.4028/www.scientific.net/MSF.794-796.876.Zhu Q.F., Zhao Z.H., Zuo Y.B., Li L., Cui J.Z. The structure evolution of a 99.995 percent high purity aluminum during multi-forging process in room temperature. Mater. Sci. Forum. 2014. Vol. 794—796. P. 876—881. https://doi.org/10.4028/www.scientific.net/MSF.794-796.876.Galkin S.P., Romantsev B.A., Kharitonov E.A. Putting into practice innovative potential in the universal radial-shear rolling process. CIS Iron Steel Rev. 2014. No. 9. P. 35—39.Galkin S.P., Romantsev B.A., Kharitonov E.A. Putting into practice innovative potential in the universal radial-shear rolling process. CIS Iron Steel Rev. 2014. No. 9. P. 35—39.Galkin S.P., Kharitonov E.A., Romanenko V.P. Screw rolling for pipe-blank production. Steel Trans. 2009. Vol. 39. No. 8. P. 700—703. https://doi.org/10.3103/S096709120908018X.Galkin S.P., Kharitonov E.A., Romanenko V.P. Screw rolling for pipe-blank production. Steel Trans. 2009. Vol. 39. No. 8. P. 700—703. https://doi.org/10.3103/S096709120908018X.Valeev I.S., Valeeva A.K., Fazlyakhmetov R.F., Khalikova G.R. Effect of radial-shear rolling on structure of aluminum alloy D16 (Al—4.4Cu—1.6Mg). Inorg. Mater. Appl. Res. 2015. Vol. 6. No. 1. P. 45—48. https://doi.org/10.1134/S2075113315010153.Valeev I.S., Valeeva A.K., Fazlyakhmetov R.F., Khalikova G.R. Effect of radial-shear rolling on structure of aluminum alloy D16 (Al—4.4Cu—1.6Mg). Inorg. Mater. Appl. Res. 2015. Vol. 6. No. 1. P. 45—48. https://doi.org/10.1134/S2075113315010153.Shurkin P.K., Akopyan T.K., Galkin S.P., Aleshchenko A.S. Effect of radial shear rolling on the structure and mechanical properties of a new-generation high-strength aluminum alloy based on the Al—Zn—Mg—Ni—Fe system. Metal Sci. Heat Treat. 2019. Vol. 60. No. 11—12. P. 764—769. https://doi.org/10.1007/s11041-019-00353-x.Shurkin P.K., Akopyan T.K., Galkin S.P., Aleshchenko A.S. Effect of radial shear rolling on the structure and mechanical properties of a new-generation high-strength aluminum alloy based on the Al—Zn—Mg—Ni—Fe system. Metal Sci. Heat Treat. 2019. Vol. 60. No. 11—12. P. 764—769. https://doi.org/10.1007/s11041-019-00353-x.Stefanik A., Szota P., Mróz S., Bajor T., Dyja H. Properties of the AZ31 magnesium alloy round bars obtained in different rolling processes. Arch. Metall. Mater. 2015. Vol. 60. No. 4. P. 3002—3005. https://doi.org/10.1515/amm-20150479.Stefanik A., Szota P., Mróz S., Bajor T., Dyja H. Properties of the AZ31 magnesium alloy round bars obtained in different rolling processes. Arch. Metall. Mater. 2015. Vol. 60. No. 4. P. 3002—3005. https://doi.org/10.1515/amm-20150479.Galkin S.P., Romantsev B.A., Ta D.X., Gamin Yu.V. Resource-saving technology for production of round bars from used shaft of rolling railroad stock. Chernye Metally. 2018. No. 4. P. 20—27.Galkin S.P., Romantsev B.A., Ta D.X., Gamin Yu.V. Resource-saving technology for production of round bars from used shaft of rolling railroad stock. Chernye Metally. 2018. No. 4. P. 20—27.Skripalenko M.M., Romantsev B.A., Kaputkina L.M., Galkin S.P., Skripalenko M.N., Cheverikin V.V. Study of transient and steady-state stages during two-high and threehigh screw rolling of a 12Kh18N10T steel workpiece. Metallurgist. 2019. Vol. 63. No. 3—4. P. 366—375. https://doi.org/10.1007/s11015-019-00832-9.Skripalenko M.M., Romantsev B.A., Kaputkina L.M., Galkin S.P., Skripalenko M.N., Cheverikin V.V. Study of transient and steady-state stages during two-high and threehigh screw rolling of a 12Kh18N10T steel workpiece. Metallurgist. 2019. Vol. 63. No. 3—4. P. 366—375. https://doi.org/10.1007/s11015-019-00832-9.Karpov B.V., Patrin P.V., Galkin S.P., Kharitonov E.A., Karpov I.B. Radial-shear rolling of titanium alloy VT-8 bars with controlled structure for small diameter ingots (≤ 200 mm). Metallurgist. 2018. Vol. 61. No. 9—10. P. 884—890. https://doi.org/10.1007/s11015-018-0581-6.Karpov B.V., Patrin P.V., Galkin S.P., Kharitonov E.A., Karpov I.B. Radial-shear rolling of titanium alloy VT-8 bars with controlled structure for small diameter ingots (≤ 200 mm). Metallurgist. 2018. Vol. 61. No. 9—10. P. 884—890. https://doi.org/10.1007/s11015-018-0581-6.Sheremetyev V., Kudryashova A., Cheverikin V., Korotitskiy A., Galkin S., Prokoshkin S., Brailovski V. Hot radial shear rolling and rotary forging of metastable beta Ti18Zr—14Nb (at.%) alloy for bone implants: Microstructure, texture and functional properties. J. Alloy. Compd. 2019. Vol. 800. P. 320—326. https://doi.org/10.1016/j.jallcom.2019.06.041.Sheremetyev V., Kudryashova A., Cheverikin V., Korotitskiy A., Galkin S., Prokoshkin S., Brailovski V. Hot radial shear rolling and rotary forging of metastable beta Ti18Zr—14Nb (at.%) alloy for bone implants: Microstructure, texture and functional properties. J. Alloy. Compd. 2019. Vol. 800. P. 320—326. https://doi.org/10.1016/j.jallcom.2019.06.041.Sheremet’ev V.A., Kudryashova A.A., Dinh X.T., Galkin S.P., Prokoshkin S.D., Brailovskii V. Advanced technology for preparing bar from medical grade Ti—Zr—Nb superelastic alloy based on combination of radial-shear rolling and rotary forging. Metallurgist. 2019. Vol. 63. No. 1—2. P. 51—61. https://doi.org/10.1007/s11015-019-00793-z.Sheremet’ev V.A., Kudryashova A.A., Dinh X.T., Galkin S.P., Prokoshkin S.D., Brailovskii V. Advanced technology for preparing bar from medical grade Ti—Zr—Nb superelastic alloy based on combination of radial-shear rolling and rotary forging. Metallurgist. 2019. Vol. 63. No. 1—2. P. 51—61. https://doi.org/10.1007/s11015-019-00793-z.Lopatin N.V., Salishchev G.A., Galkin S.P. Mathematical modeling of radial-shear rolling of the VT6 titanium alloy under conditions of formation of a globular structure. Russ. J. Non-Ferr. Met. 2011. Vol. 52. No. 5. P. 442—447. https://doi.org/10.3103/S1067821211050075.Lopatin N.V., Salishchev G.A., Galkin S.P. Mathematical modeling of radial-shear rolling of the VT6 titanium alloy under conditions of formation of a globular structure. Russ. J. Non-Ferr. Met. 2011. Vol. 52. No. 5. P. 442—447. https://doi.org/10.3103/S1067821211050075.Romancev B.A., Goncharuk A.V., Aleshchenko A.S., Gamin Y.V. Production of hollow thick-walled profiles and pipes made of titanium alloys by screw rolling. Russ. J. Non-Ferr. Met. 2015. Vol. 56. No. 5. P. 522—526. https://doi.org/10.3103/S1067821215050132.Romancev B.A., Goncharuk A.V., Aleshchenko A.S., Gamin Y.V. Production of hollow thick-walled profiles and pipes made of titanium alloys by screw rolling. Russ. J. Non-Ferr. Met. 2015. Vol. 56. No. 5. P. 522—526. https://doi.org/10.3103/S1067821215050132.Diez M., Kim H.-E., Serebryany V., Dobatkin S., Estrin Y. Improving the mechanical properties of pure magnesium by three-roll planetary milling. Mater. Sci. Eng. A. 2014. Vol. 612. P. 287—292. https://doi.org/10.1016/j.msea.2014.06.061.Diez M., Kim H.-E., Serebryany V., Dobatkin S., Estrin Y. Improving the mechanical properties of pure magnesium by three-roll planetary milling. Mater. Sci. Eng. A. 2014. Vol. 612. P. 287—292. https://doi.org/10.1016/j.msea.2014.06.061.Dobatkin S., Galkin S., Estrin Y., Serebryany V., Diez M., Martynenko N., Lukyanova E., Perezhogin V. Grain refinement, texture, and mechanical properties of a magnesium alloy after radial-shear rolling. J. Alloy. Compd. 2019. Vol. 774. P. 969—979. https://doi.org/10.1016/j.jallcom.2018.09.065.Dobatkin S., Galkin S., Estrin Y., Serebryany V., Diez M., Martynenko N., Lukyanova E., Perezhogin V. Grain refinement, texture, and mechanical properties of a magnesium alloy after radial-shear rolling. J. Alloy. Compd. 2019. Vol. 774. P. 969—979. https://doi.org/10.1016/j.jallcom.2018.09.065.Ding, X.-F., Shuang, Y.-H., Liu, Q.-Z., Zhao, C.-J. New rotary piercing process for an AZ31 magnesium alloy seamless tube. Mater. Sci. Tech. (U.K.). 2018. Vol. 34. No. 4. P. 408—418. https://doi.org/10.1080/02670836.2017.1393998.Ding, X.-F., Shuang, Y.-H., Liu, Q.-Z., Zhao, C.-J. New rotary piercing process for an AZ31 magnesium alloy seamless tube. Mater. Sci. Tech. (U.K.). 2018. Vol. 34. No. 4. P. 408—418. https://doi.org/10.1080/02670836.2017.1393998.Akopyan T.K., Belov N.A., Aleshchenko A.S., Galkin S.P., Gamin Y.V., Gorshenkov M.V., Cheverikin V.V., Shurkin P.K. Formation of the gradient microstructure of a new Al alloy based on the Al—Zn—Mg—Fe—Ni system processed by radial-shear rolling. Mater. Sci. Eng. A. 2019. Vol. 746. P. 134—144. https://doi.org/10.1016/j.msea.2019.01.029.Akopyan T.K., Belov N.A., Aleshchenko A.S., Galkin S.P., Gamin Y.V., Gorshenkov M.V., Cheverikin V.V., Shurkin P.K. Formation of the gradient microstructure of a new Al alloy based on the Al—Zn—Mg—Fe—Ni system processed by radial-shear rolling. Mater. Sci. Eng. A. 2019. Vol. 746. P. 134—144. https://doi.org/10.1016/j.msea.2019.01.029.Akopyan T.K., Aleshchenko A.S., Belov N.A., Galkin S.P. Effect of radial—shear rolling on the formation of structure and mechanical properties of Al—Ni and Al—Ca aluminum—matrix composite alloys of eutectic type. Phys. Metal. Metallogr. 2018. Vol. 119. No. 3. P. 241—250. https://doi.org/10.1134/S0031918X18010039.Akopyan T.K., Aleshchenko A.S., Belov N.A., Galkin S.P. Effect of radial—shear rolling on the formation of structure and mechanical properties of Al—Ni and Al—Ca aluminum—matrix composite alloys of eutectic type. Phys. Metal. Metallogr. 2018. Vol. 119. No. 3. P. 241—250. https://doi.org/10.1134/S0031918X18010039.Горелик С.С., Добаткин С.В., Капуткина Л.М. Рекристаллизация металлов и сплавов. 3-е изд. М.: МИСИС, 2005.Gorelik S.S., Dobatkin S.V., Kaputkina L.M. Recrystallization of metals and alloys. 3rd ed. Moscow: MISIS, 2005 (In Russ.).Fomin A.V., Aleshchenko A.S., Maslennikov I.M., Galkin S.P., Nikulin A.N. Structural and analytical evaluation of the strain intensity and its components during crossroll piercing at different feed angles. Metallurgist. 2019. Vol. 63. No. 5—6. P. 477—486. https://doi.org/10.1007/s11015-019-00848-1.Fomin A.V., Aleshchenko A.S., Maslennikov I.M., Galkin S.P., Nikulin A.N. Structural and analytical evaluation of the strain intensity and its components during crossroll piercing at different feed angles. Metallurgist. 2019. Vol. 63. No. 5—6. P. 477—486. https://doi.org/10.1007/s11015-019-00848-1.Kazuyuki N., Kouichi K., Chihiro H. Development and features of rotary reduction mill. ISIJ Intern. 1991. Vol. 31. No. 6. P. 620—627. https://doi.org/10.2355/isijinternational.31.620.Kazuyuki N., Kouichi K., Chihiro H. Development and features of rotary reduction mill. ISIJ Intern. 1991. Vol. 31. No. 6. P. 620—627. https://doi.org/10.2355/isijinternational.31.620.Skripalenko M.M., Galkin S.P., Sung H.J., Romantsev B.A., Huy T.B., Skripalenko M.N., Kaputkina L.M., Sidorow A.A. Prediction of potential fracturing during radial-shear rolling of continuously cast copper billets by means of computer simulation. Metallurgist. 2019. Vol. 62. No. 9—10. P. 849—856. https://doi.org/10.1007/s11015-01900728-8.Skripalenko M.M., Galkin S.P., Sung H.J., Romantsev B.A., Huy T.B., Skripalenko M.N., Kaputkina L.M., Sidorow A.A. Prediction of potential fracturing during radial-shear rolling of continuously cast copper billets by means of computer simulation. Metallurgist. 2019. Vol. 62. No. 9—10. P. 849—856. https://doi.org/10.1007/s11015-01900728-8.Deng G.Y., Zhu Q., Tieu K., Zhu H.T., Reid M., Saleh A.A., Su L.H., Ta T.D., Zhang J., Lu C., Wu Q., Sun D.L. Evolution of microstructure, temperature and stress in a high speed steel work roll during hot rolling: Experiment and modeling. J. Mater. Process. Technol. 2017. Vol. 240. P. 200—208. https://doi.org/10.1016/j.jmatprotec.2016.09.025.Deng G.Y., Zhu Q., Tieu K., Zhu H.T., Reid M., Saleh A.A., Su L.H., Ta T.D., Zhang J., Lu C., Wu Q., Sun D.L. Evolution of microstructure, temperature and stress in a high speed steel work roll during hot rolling: Experiment and modeling. J. Mater. Process. Technol. 2017. Vol. 240. P. 200—208. https://doi.org/10.1016/j.jmatprotec.2016.09.025.Zhang Z., Liu D., Yang Y., Zheng Y., Pang Y., Wang J., Wang H. Explorative study of rotary tube piercing process for producing titanium alloy thick-walled tubes with bi-modal microstructure. Arch. Civ. Mech. Eng. 2018. Vol. 18. No. 4. P. 1451—1463. https://doi.org/10.1016/j.acme.2018.05.005.Zhang Z., Liu D., Yang Y., Zheng Y., Pang Y., Wang J., Wang H. Explorative study of rotary tube piercing process for producing titanium alloy thick-walled tubes with bi-modal microstructure. Arch. Civ. Mech. Eng. 2018. Vol. 18. No. 4. P. 1451—1463. https://doi.org/10.1016/j.acme.2018.05.005.QuantorForm2019. URL: https://qform3d.com (accessed: 26.11.2019).QuantorForm2019. URL: https://qform3d.com (accessed: 26.11.2019).Zhang Z., Liu D., Yang Y., Wang J., Zheng Y., Zhang F. Microstructure evolution of nickel-based superalloy with periodic thermal parameters during rotary tube piercing process. Int. J. Adv. Manuf. Technol. 2019. Vol. 104. No. 9—12. P. 3991—4006. https://doi.org/10.1007/s00170019-04126-x.Zhang Z., Liu D., Yang Y., Wang J., Zheng Y., Zhang F. Microstructure evolution of nickel-based superalloy with periodic thermal parameters during rotary tube piercing process. Int. J. Adv. Manuf. Technol. 2019. Vol. 104. No. 9—12. P. 3991—4006. https://doi.org/10.1007/s00170019-04126-x.Hallberg H., Wallin M., Ristinmaa M. Modeling of continuous dynamic recrystallization in commercialpurity aluminum. Mater. Sci. Eng. A. 2010. Vol. 527. No. 4—5. P. 1126—1134. https://doi.org/10.1016/j.msea.2009.09.043.Hallberg H., Wallin M., Ristinmaa M. Modeling of continuous dynamic recrystallization in commercialpurity aluminum. Mater. Sci. Eng. A. 2010. Vol. 527. No. 4—5. P. 1126—1134. https://doi.org/10.1016/j.msea.2009.09.043.Hallberg H. Influence of process parameters on grain refinement in AA1050 aluminum during cold rolling. Int. J. Mech. Sci. 2013. Vol. 66. P. 260—272. https://doi.org/10.1016/j.ijmecsci.2012.11.016.Hallberg H. Influence of process parameters on grain refinement in AA1050 aluminum during cold rolling. Int. J. Mech. Sci. 2013. Vol. 66. P. 260—272. https://doi.org/10.1016/j.ijmecsci.2012.11.016.Wang Y.L., Molotnikov A., Diez M., Lapovok R., Kim H.-E., Wang J.T., Estrin Y. Gradient structure produced by three roll planetary milling: Numerical simulation and microstructural observations. Mater. Sci. Eng.: A. 2015. Vol. 639. P. 165—172. https://doi.org/10.1016/j.msea.2015.04.078.Wang Y.L., Molotnikov A., Diez M., Lapovok R., Kim H.-E., Wang J.T., Estrin Y. Gradient structure produced by three roll planetary milling: Numerical simulation and microstructural observations. Mater. Sci. Eng.: A. 2015. Vol. 639. P. 165—172. https://doi.org/10.1016/j.msea.2015.04.078.

The authors declare that there are no conflicts of interest present.